IAS Physics Group Meeting
Topological Correlators of Supersymmetic Gauge Theories
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Abstract: I will discuss topological correlators of supersymmetric gauge theories on four-manifolds. For four-manifolds with b2+=1, the contribution of the Coulomb branch to the path integral is in general non-vanishing. This contribution can be reduced to a finite dimensional integral over zero modes, which can be explicitly formulated using the Seiberg-Witten solution of the theory. After reviewing the case of pure N=2 SU(2) gauge theory, I will discuss recent work on this approach for N=2* Yang-Mills on a four-manifold X, and N=1 5d Yang-Mills on X x S^1. A central role is played by coupling the low energy effective theories to background fluxes for global U(1) symmetries.
Relevant papers include https://arxiv.org/abs/hep-th/9709193, https://arxiv.org/abs/1910.13410, https://arxiv.org/abs/2104.06492 and work in progress.